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Alla [95]
3 years ago
9

Match the following. 1. an angle that measures more than 0° but less than 90° vertical angles 2. two angles that have a common v

ertex and side but are not overlapping straight angle 3. two angles whose sum is 90° acute angle 4. an angle that measures more than 90° but less than 180° right angle 5. an angle that measures exactly 90° adjacent angles 6. an angle that measures exactly 180° complementary angles 7. two angles whose sum is 180° obtuse angle 8. the point where two line segments, lines, or rays meet to form an angle supplementary angles 9. angles that are opposite from one another at the intersection of two lines; vertical angles are congruent vertex
Mathematics
2 answers:
wlad13 [49]3 years ago
8 0

Answer:

1. Acute angle.

2. Adjacent angles.

3. Complementary angles.

4. Obtuse angle.

5. Right angle.

6. Straight angle.

7. Supplementary angles.

8. Vertex.

9. Vertical angles.

Step-by-step explanation:

agasfer [191]3 years ago
5 0

Answer:

Match the following:

1. An angle that measures more than 0° but less than 90°:

Acute angle.

2. Two angles that have a common vertex and side but are not overlapping:

Adjacent angles.

3. Two angles whose sum is 90°

Complementary angles.

4. An angle that measures more than 90° but less than 180°:

Obtuse angle.

5. An angle that measures exactly 90°:

Right angle.

6. An angle that measures exactly 180°:

Straight angle.

7. Two angles whose sum is 180°:

Supplementary angles.

8. The point where two line segments, lines, or rays meet to form an angle:

Vertex.

9. Angles that are opposite from one another at the intersection of two lines:

Vertical angles.

Step-by-step explanation:

Match the following:

1. An angle that measures more than 0° but less than 90°:

Acute angle.

2. Two angles that have a common vertex and side but are not overlapping:

Adjacent angles.

3. Two angles whose sum is 90°

Complementary angles.

4. An angle that measures more than 90° but less than 180°:

Obtuse angle.

5. An angle that measures exactly 90°:

Right angle.

6. An angle that measures exactly 180°:

Straight angle.

7. Two angles whose sum is 180°:

Supplementary angles.

8. The point where two line segments, lines, or rays meet to form an angle:

Vertex.

9. Angles that are opposite from one another at the intersection of two lines:

Vertical angles.

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2 years ago
A 12-meter ladder leans against a building forming a 30° angle with the building.
KatRina [158]

Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

 

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).

The measure from the bottom of the ladder to the wall is 6.

 

 

Option 1:

 

The ladder, ground and wall form a right triangle.

 

The hypotenuse (ladder) is 14 feet.

 

 The bottom of the ladder is 6 feet from the wall,

  so the base of this right triangle is 6 feet.

 

The top of the ladder to the ground represents

the missing leg of the right triangle.

 

The pythagorean theorem applies, which says

 6^2 + h^2 = 14^2   where h is the height

                                 of the top of the ladder to the ground

 

36 + h^2 = 196

 

 h^2 = 196 - 36

 

h^2  = 160

 

h = sqrt(160)

 

   = sqrt(16 * 10)

 

    = sqrt(16)* sqrt(10)

 

    = 4*sqrt(10) <--- exact answer

 

    = 4 * 3.16227766016838....

 

     = 12.64911....

 

    12.65 <--- rounded to 2 digits as directed

 

----------------------------------------------

Option #2: using trig

 

With respect to the angle formed by the bottom of the

ladder with the ground

  cos T = 6/14 = 3/7  

 T = inverse-cosine(3/7) = 64.623006647 degrees

 

 sin(64.623006647) = h/14

 

 h = 14*sin(64.62300647) = 12.6491106 <--- same answer                        

hope this helps

Step-by-step explanation:

5 0
2 years ago
The larger of two numbers is 12 more than the smaller their sum is 84 find the numbers
dedylja [7]
EXPLANATION:
Let the smaller no. be x.
Therefore, The bigger no. = x+12

x + 12 + x = 84
=> 2x = 84-12
=> x = 72/2
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ANSWER: The two numbers are (36+12) 48 & 36

Hope it helps u!
4 0
2 years ago
Read 2 more answers
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